3x(5x-8)+48=

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Solution for 3x(5x-8)+48= equation:


Simplifying
3x(5x + -8) + 48 = 0

Reorder the terms:
3x(-8 + 5x) + 48 = 0
(-8 * 3x + 5x * 3x) + 48 = 0
(-24x + 15x2) + 48 = 0

Reorder the terms:
48 + -24x + 15x2 = 0

Solving
48 + -24x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -8x + 5x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(16 + -8x + 5x2)' equal to zero and attempt to solve:

Simplifying
16 + -8x + 5x2 = 0

Solving
16 + -8x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
3.2 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -1.6x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -1.6x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -1.6x + x2 = 0 + -3.2
-1.6x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-1.6x + x2 = -3.2

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -3.2 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -3.2 + 0.64

Combine like terms: -3.2 + 0.64 = -2.56
0.64 + -1.6x + x2 = -2.56

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -2.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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